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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 416 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 3(y + 6) = 27. What is y?
  2. 2.Solve: 9y − 58 = 14. What is y?
  3. 3.Ananya thinks of a number, multiplies it by 4 and then adds 11. The result is 27. What is the number?
  4. 4.Solve: 9n − 6 = 39. What is n?
  5. 5.Solve: 3t + 11 = 32. What is t?
  6. 6.Solve: 5(n + 6) = 55. What is n?
  7. 7.Solve: 4m + 30 = 42. What is m?
  8. 8.Aditya thinks of a number, multiplies it by 7 and then adds 28. The result is 49. What is the number?
  9. 9.Solve: 6p − 32 = 16. What is p?
  10. 10.Solve: 6(y + 9) = 96. What is y?
  11. 11.Solve: 3(x + 2) = 24. What is x?
  12. 12.Solve: 9n + 15 = 105. What is n?
  13. 13.Kabir thinks of a number, multiplies it by 6 and then adds 19. The result is 67. What is the number?
  14. 14.Tara thinks of a number, multiplies it by 7 and then adds 14. The result is 98. What is the number?
  15. 15.Joseph thinks of a number, multiplies it by 5 and then adds 8. The result is 38. What is the number?
  16. 16.Solve: 2n + 1 = 17. What is n?
  17. 17.Solve: 8y − 26 = 86. What is y?
  18. 18.Solve: 3(x + 5) = 18. What is x?
  19. 19.Karan’s mother is four times as old as Karan. Their ages add up to 25 years. How old is Karan?
  20. 20.Diya thinks of a number, multiplies it by 8 and then adds 23. The result is 111. What is the number?
  21. 21.Arjun’s mother is twice as old as Arjun. Their ages add up to 33 years. How old is Arjun?
  22. 22.Solve: m/4 + 8 = 10. What is m?
  23. 23.Farhan is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  24. 24.Solve: 9n − 90 = 27. What is n?
  25. 25.Solve: 4(t + 2) = 28. What is t?
  26. 26.Solve: 6t + 25 = 97. What is t?
  27. 27.Solve: 6t + 6 = 60. What is t?
  28. 28.Solve: p/4 + 12 = 15. What is p?
  29. 29.Manav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  30. 30.Joseph thinks of a number, multiplies it by 6 and then adds 21. The result is 63. What is the number?
  31. 31.Solve: n/7 + 2 = 16. What is n?
  32. 32.Solve: 7(y + 9) = 161. What is y?
  33. 33.Solve: 9(m + 7) = 135. What is m?
  34. 34.Sneha’s mother is four times as old as Sneha. Their ages add up to 30 years. How old is Sneha?
  35. 35.Solve: 2m − 26 = 4. What is m?
  36. 36.Solve: x/6 + 11 = 21. What is x?
  37. 37.Solve: 7x + 23 = 72. What is x?
  38. 38.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  39. 39.Saanvi thinks of a number, multiplies it by 6 and then adds 13. The result is 19. What is the number?
  40. 40.Tara is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?

Answer key

  1. 3
  2. 8
  3. 4
  4. 5
  5. 7
  6. 5
  7. 3
  8. 3
  9. 8
  10. 7
  11. 6
  12. 10
  13. 8
  14. 12
  15. 6
  16. 8
  17. 14
  18. 1
  19. 5
  20. 11
  21. 11
  22. 8
  23. 8
  24. 13
  25. 5
  26. 12
  27. 9
  28. 12
  29. 7
  30. 7
  31. 98
  32. 14
  33. 8
  34. 6
  35. 15
  36. 60
  37. 7
  38. 5
  39. 1
  40. 10

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